Multiperson zero-sum differential games for a class of uncertain nonlinear systems

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	Multiperson zero-sum differential games for a class of uncertain nonlinear systems
	Liu, Derong; Wei, Qinglai
发表期刊	INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
	2014-03-01
卷号	28 期号:3-5 页码:205-231
文章类型	Article
摘要	In this paper, multiperson zero-sum differential games for a class of continuous-time uncertain nonlinear systems are solved using a new iterative adaptive dynamic programming (ADP) algorithm. The idea is to use ADP technique to obtain the optimal control pair iteratively that makes the performance index function reach the optimal solution of the zero-sum differential games without the system model. It proves that the iterative performance index functions are convergent to the optimal solution of the game. Stability properties of the system under the iterative control pairs are also presented. Neural networks are used to build the system model, approximate the performance index function, and compute the optimal control policy, respectively, for facilitating the implementation of the iterative ADP method. Finally, two simulation examples are given to demonstrate the performance of the proposed method. Copyright (c) 2012 John Wiley & Sons, Ltd.
关键词	Uncertain Nonlinear Systems Neural Networks Multiperson Zero-sum Differential Games Adaptive Dynamic Programming
WOS标题词	Science & Technology ; Technology
关键词[WOS]	OPTIMAL TRACKING CONTROL ; FEEDBACK-CONTROL ; CONTROL SCHEME ; REINFORCEMENT ; ARCHITECTURE ; DESIGNS
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000333022500002
引用统计	被引频次：21[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/3855
专题	多模态人工智能系统全国重点实验室_复杂系统智能机理与平行控制团队
作者单位	Chinese Acad Sci, Inst Automat, State Key Lab Management & Control Complex Syst, Beijing 100190, Peoples R China
第一作者单位	中国科学院自动化研究所
推荐引用方式 GB/T 7714	Liu, Derong,Wei, Qinglai. Multiperson zero-sum differential games for a class of uncertain nonlinear systems[J]. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING,2014,28(3-5):205-231.
APA	Liu, Derong,&Wei, Qinglai.(2014).Multiperson zero-sum differential games for a class of uncertain nonlinear systems.INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING,28(3-5),205-231.
MLA	Liu, Derong,et al."Multiperson zero-sum differential games for a class of uncertain nonlinear systems".INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING 28.3-5(2014):205-231.